1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Artyom0805 [142]
3 years ago
5

Vertex form of x^2+6x+3

Mathematics
1 answer:
Anastasy [175]3 years ago
8 0

Answer:

y = (x + 3)^2 - 6.

Step-by-step explanation:

The vertex formula is Y = a(x - h)^2 + k.

To find the vertex formula, we need to find h and k, by finding the vertex of x^2 + 6x + 3.

h = -b/2a

a = 1, b = 6.

h = -6 / 2 * 1 = -6 / 2 = -3

k = (-3)^2 + 6(-3) + 3 = 9 - 18 + 3 = -9 + 3 = -6

So far, we have Y = a(x - (-3))^2 + -6, so y = a(x + 3)^2 - 6.

In this case, the coefficient of x^2 of the given formula is 1, which means that a will be 1.

The vertex form of x^2 + 6x + 3 is y = (x + 3)^2 - 6.

To check our work...

y = (x + 3)^2 - 6

= x^2 + 3x + 3x + 9 - 6

= x^2 + 6x + 3

Hope this helps!

You might be interested in
How many solutions are there to the equation below? 17 x - 8 = 3x + 16<br>maqth ​
vazorg [7]

Answer:

There is one solution and that answer is mixed number form  1 5/7 or exact form 12/7

Step-by-step explanation:

8 0
3 years ago
A certain company makes three grades (A, B, and C) of a particular electrical component. Historically, grade A components have a
IrinaK [193]

Answer:

following are the solution to this question:

Step-by-step explanation:

In part (a):

Phase 1: Identifies a reasonable confidence period with both the title or form and checks suitable conditions. one z-interval test, p, that true percentage of defective parts in such a lot of Clauses:

1. Unique component sampling

2. This survey size is enough, to the fact to conclude the composition of that percentage of a sample was roughly natural, which the amount for successes and the number of losses are either greater than 10 (or 5 or 15). Needs to check: A 200-component representative selection of a big batch was picked. Each has far more than 15 achievements or failures (16 and 184).

Phase 2: Mechanisms Correct Pick problems for Pink and Blue it Committee of a College. Similar products are part of the program of a College Board. It is prohibited for such resources to be used and distributed online or in a printed form far beyond the participation of the college in the package, which leads to intervals (0.0424, 0.1176).

Phase 3: Background analysis In just this study, we consider 95% of its computed value to have between 4.24% and 11.76% for both the real number of defective components within the batch.

In part (b):

Its standard deviation of 95 percent found in Part (a) allows a company to eliminate class A as its 2 percent faulty rate is not among the computed value within this interval. It period however does not enable the company to decide between levels B and C, since the two faulty rates (5% and 10%) were examined.

Scoring: In 4 components the question is rated. Section 1 comprises part (a) step 1; part (a) or step 2 comprises of the part (a), part (3), part (a), and part (4) (b). The part was marked as correct (E), partly right (P) (I).

4 0
3 years ago
- x is less than or equal to 5
Bad White [126]

Answer:

equal

Step-by-step explanation:

hi

8 0
3 years ago
In a park, a sidewalk is built around the edge of a circular garden as shown. The sidewalk is 5 feet wide, and the garden measur
posledela

Answer:

63 feet.

Step-by-step explanation:

The total diameter of the circular garden is given by 5ft+ 10 ft + 5 ft= 20 feet

As the circumference of the circle = 2πr where r = radius obtained by dividing the diameter by 2. Here the diameter = 20 feet and r= d/2 = 20/2 = 10 feet

Putting the values in the circumference formula

Then C= 2(22/7) (10)= 62.85 feet

Rounding gives almost 63 feet .

4 0
3 years ago
How to make a number line
ioda

A number line is a line that extends infinitely in both directions (marked by arrows) that shows a range of numbers with a consistent distance between increments.

  1. Draw a line
  2. Draw arrows on both sides pointing out
  3. Write the minimum and maximum values on the left and right side repectively
  4. Add appropriate increments with equal distances on the number line
7 0
3 years ago
Other questions:
  • Use side lengths to evaluate.<br> tan (π/3)
    6·1 answer
  • PLZZZZ HELP ME ASAP!!!!!
    9·2 answers
  • Larry pays $60.75 for a golf club that was discounted by 25%. What was the price of the golf club before the discount?
    8·1 answer
  • All of the following points lie on the graph of y = 5x except _____.
    11·1 answer
  • The access code for a garage door consists of three digits. Each digit can be any number from 1 through 5​, and each digit can b
    5·1 answer
  • What number is 95% of 350
    8·2 answers
  • Which is the equation of a line that passes through the point (3, 2) and is parallel to the line in the graph?
    12·1 answer
  • What are the solutions (intersections) for –2| x– 16| = 6 ?
    11·2 answers
  • Bakery charges $4.00 per cupcake. How much will it cost for 2 cupcakes? 5 cupcakes? 7 cupcakes? 9 cupcakes? 12 cupcakes?
    7·2 answers
  • The manufacturer of running shoes conducted a study on its newly developed jogging shoe. Listed are the type and frequency of th
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!